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    <title>GROOPS - parametrizationGnssAntennaType</title>

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<h1 id="parametrizationGnssAntennaType">ParametrizationGnssAntenna</h1><p>
Parametrization of antenna center variations. It will be used to set up the design matrix in a least squares adjustment.
Usually the parametrization is setup separately for different <a class="groops-class" href="gnssType.html">gnssType</a>.</p><p>If multiple parametrizations are given the parameters are sequently appended in the design matrix and parameter vector.
</p>

<h2 id="center">Center</h2><p>
Antenna center or, if setup for a specific <a class="groops-class" href="gnssType.html">gnssType</a>,
phase/code center offset (e.g. <code>*1*G</code> for GPS L1 phase center offset) in $[m]$.</p><p>The <a class="groops-file" href="fileFormat_parameterName.html">parameter names</a> are
<ul>

<li><code>*:antennaCenter.x:*:*</code>,
</li><li>
<code>*:antennaCenter.y:*:*</code>,
</li><li>
<code>*:antennaCenter.z:*:*</code>.
</li></ul>

</p>
<table class="table table-hover">
<tr class="table-primary"><th>Name</th><th>Type</th><th>Annotation</th></tr>
<tr class="table-light"><td class="m-0"><div class="h-100 config-tree depth-0"><div class="h-100 config optional">estimateX</div></div></td><td>boolean</td><td></td></tr>
<tr class=""><td class="m-0"><div class="h-100 config-tree depth-0"><div class="h-100 config optional">estimateY</div></div></td><td>boolean</td><td></td></tr>
<tr class="table-light"><td class="m-0"><div class="h-100 config-tree depth-0"><div class="h-100 config optional">estimateZ</div></div></td><td>boolean</td><td></td></tr>
</table>

<h2>SphericalHarmonics</h2><p>
Parametrization of antenna center variations in $[m]$ in terms of spherical harmonics.
As usually only data above the horizon are observed only the even spherical harmonics
(degree/order $m+n$ even), which are symmetric to the equator, are setup.</p><p>The total count of parameters is $((n_{max}+1)(n_{max}+2)-n_{min}(n_{min}+1)/2$ and
the <a class="groops-file" href="fileFormat_parameterName.html">parameter names</a> are
<ul>

<li><code>*:antennaCenterVariations.sphericalHarmonics.c_&lt;degree>_&lt;order>:*:*</code>,
</li><li>
<code>*:antennaCenterVariations.sphericalHarmonics.s_&lt;degree>_&lt;order>:*:*</code>.
</li></ul>
</p><p></p>
<table class="table table-hover">
<tr class="table-primary"><th>Name</th><th>Type</th><th>Annotation</th></tr>
<tr class="table-light"><td class="m-0"><div class="h-100 config-tree depth-0"><div class="h-100 config mustset">minDegree</div></div></td><td>uint</td><td>min degree</td></tr>
<tr class=""><td class="m-0"><div class="h-100 config-tree depth-0"><div class="h-100 config mustset">maxDegree</div></div></td><td>uint</td><td>max degree</td></tr>
</table>

<h2>RadialBasis</h2><p>
Parametrization of antenna center variations with radial basis functions
\[
  ACV(\M x(A, E)) = \sum_i a_i \Phi(\M x\cdot\M x_i)
\]where $a_i$ in $[m]$ the coefficients which has to be estimated and $\Phi$ are the basis
functions
\[
  \Phi(\cos\psi) = \sum_n \sqrt{2n+1}P_n(\cos\psi).
\]
The <a class="groops-file" href="fileFormat_parameterName.html">parameter names</a> are
<code>*:antennaCenterVariations.radialBasis.&lt;index>.&lt;total count>:*:*</code>.</p><p><figure><img class="figure" style="width:40%;" src="../figures/parametrizationGnssAntennaRadialBasis.png" alt="parametrizationGnssAntennaRadialBasis"><figcaption class="center">Figure: Nodal points of the basis functions
using a Reuter grid for transmitting satellites (view angle of 18 deg). The red line indicates the view angle of 14 deg of ground stations.</figcaption></figure>
</p>
<table class="table table-hover">
<tr class="table-primary"><th>Name</th><th>Type</th><th>Annotation</th></tr>
<tr class="table-light"><td class="m-0"><div class="h-100 config-tree depth-0"><div class="h-100 config mustset-unbounded">grid</div></div></td><td><a href="gridType.html">grid</a></td><td>nodal points of shannon kernels</td></tr>
<tr class=""><td class="m-0"><div class="h-100 config-tree depth-0"><div class="h-100 config mustset">minDegree</div></div></td><td>uint</td><td>min degree of shannon kernel</td></tr>
<tr class="table-light"><td class="m-0"><div class="h-100 config-tree depth-0"><div class="h-100 config mustset">maxDegree</div></div></td><td>uint</td><td>max degree of shannon kernel</td></tr>
</table>

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